DuchonQ

The function <code>DuchonQ</code> computes the semi-kernel of Duchon splines. This function is not intended to be used directly.

multivariate

smooth

Multivariate smoothing using iterative bias reduction with kernel, thin plate splines, Duchon splines or low rank splines.

Pierre-Andre Cornillon

Iterative Bias Reduction

DuchonQ function

<dl> <dt>x</dt>
<dd>A numeric matrix of explanatory variables, with n rows
 and p columns.</dd> <dt>xk</dt>
<dd>A numeric matrix of explanatory variables, with nk rows
 and p columns.</dd> <dt>m</dt>
<dd>Order of derivatives.</dd> <dt>s</dt>
<dd>Exponent for the weight function.</dd> <dt>symmetric</dt>
<dd>Boolean: if <code>TRUE</code> only <code>x</code> is used and it
 computes the semi-kernel at observations of <code>x</code> (it should give the
 same result as <code>DuchonQ(x,xk,m,s,FALSE)</code>).</dd></dl>

Arguments

Pierre-Andre Cornillon, Nicolas Hengartner and Eric Matzner-Lober.

Author

Computes the semi-kernel of Duchon splines — DuchonQ

<dl>

 <dt>x</dt>
<dd>A numeric matrix of explanatory variables, with n rows
 and p columns.</dd>

 <dt>xk</dt>
<dd>A numeric matrix of explanatory variables, with nk rows
 and p columns.</dd>

 <dt>m</dt>
<dd>Order of derivatives.</dd>

 <dt>s</dt>
<dd>Exponent for the weight function.</dd>

 <dt>symmetric</dt>
<dd>Boolean: if <code>TRUE</code> only <code>x</code> is used and it
 computes the semi-kernel at observations of <code>x</code> (it should give the
 same result as <code>DuchonQ(x,xk,m,s,FALSE)</code>).</dd>

</dl>

DuchonQ: Computes the semi-kernel of Duchon splines

Description

Usage

Value

Arguments

Author

References

See Also